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Finding the Fourth Proportional to 178,133.37, 245,824.13 and 97,565.96

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Solution

The fourth proportional to 178,133.37, 245,824.13 and 97,565.96 is: 134,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,133.37 : 245,824.13 = 97,565.96 : x
  2. Step 2: Convert to fraction form
    178,133.37/245,824.13 = 97,565.96/x
  3. Step 3: Cross multiply
    178,133.37x = 245,824.13 × 97,565.96
  4. Step 4: Simplify right side
    178,133.37x = 23,984,067,234.61
  5. Step 5: Solve for x
    x = 23,984,067,234.61/178,133.37
  6. Step 6: Final answer
    x = 134,641.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.